Let's solve the expression step by step:

Given expression:
\[
x^{-4} + 8(4) + 16
\]

1. **Evaluate \(8(4)\):**
   \[
   8 \times 4 = 32
   \]
   So, the expression becomes:
   \[
   x^{-4} + 32 + 16
   \]

2. **Add \(32\) and \(16\):**
   \[
   32 + 16 = 48
   \]
   Now, the expression is:
   \[
   x^{-4} + 48
   \]

So the simplified expression is:
\[
x^{-4} + 48
\]

Do you want more details on any of these steps or have any questions?

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Here are five related questions you might find interesting:
1. How do you simplify expressions with negative exponents like \(x^{-4}\)?
2. What are the rules for multiplying and adding numbers in algebraic expressions?
3. How does the expression change if \(x = 2\)?
4. What would the expression look like if the exponent was positive instead of negative?
5. How can you solve \(x^{-4} + 48 = 0\) for \(x\)?

**Tip:** When simplifying algebraic expressions, always perform operations inside parentheses first, followed by exponents, and then the remaining arithmetic operations.

Learn how to simplify the expression x^-4 + 8(4) + 16 step-by-step. This problem involves algebraic manipulation of exponents and arithmetic operations. Suitable for students in Grades 7-9.

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